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442422220 = 225195712039
BaseRepresentation
bin11010010111101…
…101001111001100
31010211111101012011
4122113231033030
51401230002340
6111522351004
713651345462
oct3227551714
91124441164
10442422220
112078103a9
121041bb464
13708757c6
1442a88832
1528c930ea
hex1a5ed3cc

442422220 has 48 divisors (see below), whose sum is σ = 980179200. Its totient is φ = 167279040.

The previous prime is 442422193. The next prime is 442422241. The reversal of 442422220 is 22224244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442422191 and 442422200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215961 + ... + 217999.

It is an arithmetic number, because the mean of its divisors is an integer number (20420400).

Almost surely, 2442422220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490089600).

442422220 is an abundant number, since it is smaller than the sum of its proper divisors (537756980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442422220 is a wasteful number, since it uses less digits than its factorization.

442422220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 442422220 is about 21033.8351234386. The cubic root of 442422220 is about 761.9836339121.

Adding to 442422220 its reverse (22224244), we get a palindrome (464646464).

The spelling of 442422220 in words is "four hundred forty-two million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 571 1142 2039 2284 2855 4078 5710 8156 10195 10849 11420 20390 21698 38741 40780 43396 54245 77482 108490 154964 193705 216980 387410 774820 1164269 2328538 4657076 5821345 11642690 22121111 23285380 44242222 88484444 110605555 221211110 442422220